Least Common Multiple of 8593 and 8600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8593 and 8600 the smallest integer that is 73899800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8593 and 8600 is 73899800.

LCM(8593,8600) = 73899800

LCM of 8593 and 8600

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8593 and 8600

LCM of 8593 and 8600 is 73899800

Least common multiple can be found by multiplying the highest exponent prime factors of 8593 and 8600. First we will calculate the prime factors of 8593 and 8600.

Prime Factorization of 8593


13 8593
661 661
1

Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:

8593 = 131×6611

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8593 and 8600.

LCM(8593,8600) = 23×52×131×431×6611
LCM(8593,8600) = 73899800

Factors of 8593

List of positive integer factors of 8593 that divides 8593 without a remainder.

1, 13, 661, 8593

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600

Least Common Multiple of 8593 and 8600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8593 and 8600, than apply into the LCM equation.

GCF(8593,8600) = 1
LCM(8593,8600) = ( 8593 × 8600) / 1
LCM(8593,8600) = 73899800 / 1
LCM(8593,8600) = 73899800

Properties of LCM 8593 and 8600

(i) The LCM of 8600 and 8593 is associative

LCM of 8593 and 8600 = LCM of 8600 and 8593

Related Least Common Multiples of 8593

Related Least Common Multiples of 8600

Frequently Asked Questions on LCM of 8593 and 8600

1. What is the LCM of 8593 and 8600?

Answer: LCM of 8593 and 8600 is 73899800.

2. What are the Factors of 8593?

Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.

3. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

4. How to Find the LCM of 8593 and 8600?

Answer:

Least Common Multiple of 8593 and 8600 = 73899800

Step 1: Find the prime factorization of 8593

8593 = 13 x 661

Step 2: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 73899800 = 2 x 2 x 2 x 5 x 5 x 13 x 43 x 661

Step 4: Therefore, the least common multiple of 8593 and 8600 is 73899800.